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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 3, Pages 490–500
(Mi zvmmf505)
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This article is cited in 8 scientific papers (total in 8 papers)
Numerical method for solving an inverse problem for a population model
A. M. Denisov, A. S. Makeev Moscow State University, Leninskie gory, Moscow, 119992, Russia
Abstract:
The inverse problem of determining the growth rate coefficient of biological objects from additional information on their time-dependent density is considered. Two nonlinear integral equations are derived for the unknown coefficient, which is determined on part of its domain from one equation and on the remaining part from the other equation. The nonlinear integral equations are solved by iterative methods. The convergence conditions for the iterative methods are formulated, and results of numerical experiments are presented.
Key words:
inverse problem for population model, integral equations, iterative methods.
Received: 24.10.2005
Citation:
A. M. Denisov, A. S. Makeev, “Numerical method for solving an inverse problem for a population model”, Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006), 490–500; Comput. Math. Math. Phys., 46:3 (2006), 470–480
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https://www.mathnet.ru/eng/zvmmf505 https://www.mathnet.ru/eng/zvmmf/v46/i3/p490
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Abstract page: | 628 | Full-text PDF : | 261 | References: | 100 | First page: | 1 |
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